[tex]a.\ V=x^3,\ V=1728\ in^3\\\\x^3=1728\to x=\sqrt[3]{1728}\\\\x=\sqrt[3]{64\cdot27}\\\\x=\sqrt[3]{64}\cdot\sqrt[3]{27}\\\\x=4\cdot3\\\\\boxed{x=12\ in}[/tex]
[tex]b.\ A_s=x^2\ (\text{the side is a square})\\\\A_s=12^2=\boxed{144\ in^2}[/tex]
[tex]c.\ \boxed{SA=6x^2}\ (\text{six squares})[/tex]
[tex]d.\ SA=6\cdot144=\boxed{864\ in^2}[/tex]
